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Finding the Fourth Proportional to 97.85, 147.35 and 88.34

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Solution

The fourth proportional to 97.85, 147.35 and 88.34 is: 133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.85 : 147.35 = 88.34 : x
  2. Step 2: Convert to fraction form
    97.85/147.35 = 88.34/x
  3. Step 3: Cross multiply
    97.85x = 147.35 × 88.34
  4. Step 4: Simplify right side
    97.85x = 13,015.72
  5. Step 5: Solve for x
    x = 13,015.72/97.85
  6. Step 6: Final answer
    x = 133.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.